What is laplacetransform 4y ?

The answer to laplacetransform 4y is 4/(s^2)

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laplacetransform 4y

laplace transform

4 y

\frac{4}{s ^{2}}

Solution steps

L {4 y}

Use the constant multiplication property of Laplace Transform:

For function

f (t)

and constant

a : L {a \cdot f (t)} = a \cdot L {f (t)}

= 4 L {y}

L {y} : \frac{1}{s ^{2}}

= 4 \cdot \frac{1}{s ^{2}}

Refine

4 \frac{1}{s ^{2}} : \frac{4}{s ^{2}}

= \frac{4}{s ^{2}}

\int x^{25} sin (x^{26}) d x

e^{5}

\frac{\partial}{\partial x} (y^{2} sin (\frac{x}{y}))

\frac{d}{d x} (\frac{i}{5 x ^{2} + 1})

y = \frac{2 x ^{2} + 4 x + 4}{x}